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Finding the Fourth Proportional to 38.01, 57.02 and 19.97

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Solution

The fourth proportional to 38.01, 57.02 and 19.97 is: 29.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.01 : 57.02 = 19.97 : x
  2. Step 2: Convert to fraction form
    38.01/57.02 = 19.97/x
  3. Step 3: Cross multiply
    38.01x = 57.02 × 19.97
  4. Step 4: Simplify right side
    38.01x = 1,138.30
  5. Step 5: Solve for x
    x = 1,138.30/38.01
  6. Step 6: Final answer
    x = 29.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.